Transmission-reflection decoupling of non-Hermitian photonic doping epsilon-near-zero media

doi:10.1007/s11467-023-1362-7

Front. Phys.

2024, Vol. 19

Issue (3) : 33206 https://doi.org/10.1007/s11467-023-1362-7

RESEARCH ARTICLE

Transmission-reflection decoupling of non-Hermitian photonic doping epsilon-near-zero media

Yongxing Wang^1,², Jizi Lin^1,², Ping Xu³(

)

¹. Zhangjiagang Campus, Jiangsu University of Science and Technology, Zhangjiagang 215600, China
². Department of physics, Jiangsu University of Science and Technology Suzhou Institute of Technology, Zhangjiagang 215600, China
³. School of Physical Science and Technology, Soochow University, Suzhou 215006, China

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Abstract

We present a novel method to achieve the decoupling between the transmission and reflection waves of non-Hermitian doped epsilon-near-zero (ENZ) media by inserting a dielectric slit into the structure. Our method also allows for independent control over the amplitude and the phase of both the transmission and reflection waves through few dopants, enabling us to achieve various optical effects, such as perfect absorption, high-gain reflection without transmission, reflectionless high-gain transmission and reflectionless total transmission with different phases. By manipulating the permittivity of dopants with extremely low loss or gain, we can realize these effects in the same configuration. We also extend this principle to multi-port doped ENZ structures and design a highly reconfigurable and reflectionless signal distributor and generator that can split, amplify, decay and phase-shift the input signal in any desired way. Our method overcomes limitations of optical manipulation in doped ENZ caused by the interdependent nature of the transmission and reflection, and has potential applications in novel photonic devices.

Keywords photonic doping non-Hermitian epsilon-near-zero media transmission-reflection decoupling

Corresponding Author(s): Ping Xu

Issue Date: 07 December 2023

Cite this article:

Yongxing Wang,Jizi Lin,Ping Xu. Transmission-reflection decoupling of non-Hermitian photonic doping epsilon-near-zero media[J]. Front. Phys. , 2024, 19(3): 33206.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-023-1362-7
https://academic.hep.com.cn/fop/EN/Y2024/V19/I3/33206

Fig.1 (a) Diagrammatic sketch of the doped ENZ structure with two ports. (b) Diagram of the solutions of

m 1

on the complex plane for a given reflectance

R

when the transmission coefficient is fixed as

t 0

. (c) Diagram of the solutions of

m 1

and corresponding

m 2

on the complex plane for a given transmittance

T

when the reflection coefficient is fixed as

r 0

Fig.2 Calculation results of (a) reflectance

R

and (b) transmittance

T

versus the real part of the relative permittivity of dopant 1

ε d 1 ′

and the imaginary part of the relative permittivity of dopant 1

ε d 1 ′ ′

when

ε d 2 = 1.196

. (c) Calculation results of the reflection phase for

R = 10 − 3 ± 4 × 10 − 5

R = 10 − 2 ± 2 × 10 − 4

R = 10 − 1 ± 1 × 10 − 3

R = 1 ± 1 × 10 − 2

R = 101 ± 1 × 10 − 1

R = 102 ± 2

and

R = 103 ± 4 × 101

Fig.3 (a) Simulation results of the distribution of magnetic fields in the ENZ structure for perfect absorption. (b) The corresponding distribution of the amplitude of magnetic fields along the gray dashed line in (a). (c) Simulation results of the distribution of magnetic fields in the ENZ structure for amplified reflection with extremely low transmission. (d) The corresponding distribution of the amplitude of magnetic fields along the gray dashed line in (c).

Fig.4 Calculation results of the transmittance

T

versus (a) the real part and imaginary part of the relative permittivity of dopant 1 and (b) that of dopant 2 for reflectance

R = 0

. (c) Distributions of phase as a function of the real part and imaginary part of the relative permittivity of dopant 1 depicted by the red coordinate system and that of dopant 2 depicted by the blue coordinate system when the transmittance

T = 1 ± 0.01

Fig.5 (a) Simulation results of the distribution of magnetic fields in the ENZ structure for the amplified transmission with extremely low reflection. (b) The corresponding distribution of the amplitude of magnetic fields along the gray dashed line in (a). Simulation results of the distribution of magnetic fields in the ENZ structure for the reflectionless total transmission with (c) near-zero phase advance and (d) a

π

-phase advance.

Fig.6 Plane (a) and three-dimensional (b) diagrammatic sketch of the highly reconfigurable reflectionless signal distributor and generator. Simulation results of the magnetic field distribution in the signal distributor and generator when (c) the power of the incident wave is equally distributed into two output ports with opposite transmission phases, (d) when the incident wave is totally distributed into one output port with

φ 21 = π / 2

and (e) when the incident wave is amplified in one output port and decayed in another output port with the same phase.

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